Have a question not already answered in the links at left or on our main
FAQ page?
Ask it above.

Location: United Kingdom

Member Since: Dec. 25, 2011

Dr John Kelliher

Biography

Upon writing close to 200 maths eBooks and receiving at times some poor reviews, I was shocked somewhat, not by the complexity, majestic beauty and ornate utility of maths, and mathematics, but by the degree of difficulty that so many students of all ages experienced when studying, attempting to study, reviewing or learning from the variety of available mathematical literature. This shock extended not only to the fields of education, but also to the domains of engineering, science, finance, commerce and trade. It was rightfully illuminated, and mindfully made clear that the vast majority of the population had great difficulty reading, assimilating and learning the fundamental principles of this noble subject. No wonder I was being misunderstood !!!

Something needed to be done to change this. It was as if people where viewing and reviewing my maths eBooks through the wrong end of the telescope. - just as Dr Seuss indicated.

I am, by way of education, training , learning and experience a 'doctor of electronics research', an 'engineer, Architect, scientist' with special interests in 'mathematics, research, communications, electronics, signal processing and internet mobility', language, literature, phonics, music and linguistics' as well as 'art, architecture, archaeology, history, geography and humanities' who has designed, developed, produced and published 5 (five) series of English language mathematics eBooks which are distributed via partnerships including smashwords as well as their distribution partners (Apple, Kobo, Barnes and Noble, et al). Our maths eBooks are of the highest academic quality and suitable as standard as well as supplementary texts for primary and secondary school students of the UK as well as the elementary, middle (junior high), high (secondary) school student market in North America. They are suitable for schoolchildren in the age range 5-18 as well as mature students, particularly those wishing to use SOA (state of the art) mathematical techniques and principles in the engineering, architectural, scientific, medical, financial, data and statistical fields of commerce and business.

At Bristol University I studied for an honours degree in electrical and electronic engineering, obtaining a B.Sc.(Eng.) honours degree, and subsequently at Kings College London, University of London, I studied at the prestigious 5* centre for telecommunications research and received both the MPhil (Master of Philosophy) and PhD (Doctor of Philosophy) degree qualifications in electronics research. My PhD thesis' title was 'A Voyage Into Quantum Mobility'.

I consider myself to be among the best electronics architects in Europe, but must acknowledge those learned gentlemen who heralded the birth of the Internet in the 1960's and earlier, as well as prior exponents of the 'Founding Fathers of Communication Systems', whose work and expertise I have been able to incorporate into my designs. Ta tu failte.

This eBook introduces the subjects of correlation and linear regression, presenting the relationship between two variables, reviewing the use of scatter diagrams in its review going on to examine the use of the product moment correlation coefficient in correlation, as well as the concept of regression and linear regression in particular, following up with an introduction of Spearman’s rank corr..

This eBook introduces the subjects of correlation and linear regression, presenting the relationship between two variables, reviewing the use of scatter diagrams in its review going on to examine the use of the product moment correlation coefficient in correlation, as well as the concept of regression and linear regression in particular, following up with an introduction of Spearman’s rank corr...

This eBook introduces the trigonometric ratios, the trigonometric ratios of standard triangles, the sine rule, the cosine rule, the formula to calculate the area of a triangle as well as generic trigonometric equations equation of a circle, the graphs of cos x, sin x and tan x, transformed trigonometric graphs as well as the graph and CAST methods of solving trigonometric equations in a given ..

This eBook reviews simultaneous equations and inequalities. We introduce simultaneous equations as systems of equations, and consider some relatively simple pairs of simultaneous equations, one pair involving a pair of linear equations, and another pair involving one linear equation and one quadratic equation. We go on to introduce the two methods of solving simultaneous equations, elimination..

This eBook introduces the subjects of sequences and series, and introduces sequences in general, as well as arithmetic and geometric progressions, series within arithmetic and geometric progressions, the concepts of convergence and divergence as well as the binomial expansion. Suitable questions are asked throughout the discourse to test and develop the students comprehension of the subject.

This eBook reviews quadratics, cubics and other polynomials, in ways from sketching and understanding their graphs, to factorising quadratics, understanding the quadratic formula, solving quadratic ‘like’ equations, completing the square, factorising cubics, algebraic division and understanding the remainder and factor theorems. Further, we include an extensive selection of questions for the ..

This eBook introduces the subject of logarithms and exponentials, from the basic definition of logarithm, through the laws of logarithms, undertaking an assessment and an appreciation of exponential graphs, looking at the linear form of exponentials interspersed with a series of questions and worked examples.

This eBook introduces the subject of integration, starting by introducing integration as the inverse of differentiation, with a twist or two. We then introduce the indefinite integral and its constant of integration, and go on to introduce the definite integral. As well as this, we provide ample examples and illustrations to illuminate the prose. We go on to introduce trapeziums linear ..

This eBook introduces the subjects of indices and surds, ranging from introducing both indices and the laws of indices, surds and the laws of surds, to developing the students skills in manipulation such numbers through setting a wide range of questions.

This eBook introduces the subject of differentiation, across this wide-ranging subject, starting with definitions and first principles to developing an understanding and appreciation of the first and second order differentials of the equation y = xn through a development of the equations of the gradient and normal to a curve at a particular point as well as a thorough review of maximum, minimum ..

This eBook introduces the subjects of co-ordinate geometry and graphs, ranging from finding the equations of the straight-line joining two points for which the co-ordinates are known, to calculating both the mid-point and length of a line between two known co-ordinates to plotting equations of the form y = kxn where n is even or odd for various values of k, as well as y = k√(x) where x is ..

This eBook introduces the subject of circle and circle geometry, introduces the equation of a circle, explores circle geometry, examines tangential lines to circles and their properties and equations, as well as exploring arc-length and sector area of circles where angles are represented in radians. Further, we include some elementary questions for the student to enjoy.

This eBook reviews some advanced topics in algebra, including exploring the nature of polynomials, functions, equations and identity’s, examining the mathematical nomenclature used in multiplication and division. We consider multiplying out brackets, taking out common factors, manipulating algebraic fractions and simplifying expressions. Further, we include an extensive selection of questions..

This eBook introduces the trigonometric ratios, the trigonometric ratios of standard triangles, the sine rule, the cosine rule, the formula to calculate the area of a triangle as well as generic trigonometric equations equation of a circle, the graphs of cos x, sin x and tan x, transformed trigonometric graphs as well as the graph and CAST methods of solving trigonometric equations in a given ...

This eBook reviews simultaneous equations and inequalities. We introduce simultaneous equations as systems of equations, and consider some relatively simple pairs of simultaneous equations, one pair involving a pair of linear equations, and another pair involving one linear equation and one quadratic equation. We go on to introduce the two methods of solving simultaneous equations, elimim. ...

This eBook introduces the subjects of sequences and series, and introduces sequences in general, as well as arithmetic and geometric progressions, series within arithmetic and geometric progressions, the concepts of convergence and divergence as well as the binomial expansion. Suitable questions are asked throughout the discourse to test and develop the students comprehension of the subject.

This eBook reviews quadratics, cubics and other polynomials, in ways from sketching and understanding their graphs, to factorising quadratics, understanding the quadratic formula, solving quadratic ‘like’ equations, completing the square, factorising cubics, algebraic division and understanding the remainder and factor theorems. Further, we include an extensive selection of questions for the ...

This eBook introduces the subject of logarithms and exponentials, from the basic definition of logarithm, through the laws of logarithms, undertaking an assessment and an appreciation of exponential graphs, looking at the linear form of exponentials interspersed with a series of questions and worked examples.

This eBook introduces the subject of integration, starting by introducing integration as the inverse of differentiation, with a twist or two. We then introduce the indefinite integral and its constant of integration, and go on to introduce the definite integral. As well as this, we provide ample examples and illustrations to illuminate the prose. We go on to introduce trapeziums linear ...

This eBook introduces the subjects of indices and surds, ranging from introducing both indices and the laws of indices, surds and the laws of surds, to developing the students skills in manipulation such numbers through setting a wide range of questions..

This eBook introduces the subject of differentiation, across this wide-ranging subject, starting with definitions and first principles to developing an understanding and appreciation of the first and second order differentials of the equation y = xn through a development of the equations of the gradient and normal to a curve at a particular point as well as a thorough review of maximum, minimum ..

This eBook introduces co-ordinate geometry and graphs, ranging from finding the equations of the straight-line joining two points for which the co-ordinates are known, to calculating both the mid-point and length of a line between two known co-ordinates to plotting equations of the form y = kx^n where n is even or odd for various values of k, as well as y = k√(x) where x is positive.

This eBook introduces the subject of circle and circle geometry, introduces the equation of a circle, explores circle geometry, examines tangential lines to circles and their properties and equations, as well as exploring arc-length and sector area of circles where angles are represented in radians. Further, we include some elementary questions for the student to enjoy.

This eBook reviews some advanced topics in algebra, including exploring the nature of polynomials, functions, equations and identity’s, examining the mathematical nomenclature used in multiplication and division. We consider multiplying out brackets, taking out common factors, manipulating algebraic fractions and simplifying expressions. We include an extensive selection of questions.

A short book of Haiku poetry (verse) capturing the essence of this traditional style of Japanese poetry and transforming it through compositions in the themes of "Prehistory and Ancient Folklore", "Scientific – Mathematical - Musical" and "Seasons And The Natural World" with an Irish touch.

This eBook introduces the topic of straight line graphs, the linear equation of the form y = mx + c, the gradient of a straight line equation, horizontal and vertical lines, lines of the form y = mx, the main diagonals, how to calculate the length of a straight line segment (using Pythagoras’ Theorem), lines and line segments, parallel straight lines and perpendicular straight lines.

This eBook introduces the topics of areas triangles, parallelograms, trapeziums and circles as well as sectors of circles, nets of regular shapes, the surface area of spheres, cones and cylinders, plan and elevation projections as well as isometric projections and volumes of regular solids.

This eBook introduces the topic of polygons, tessellations and symmetry, through a review of what polygons are, a review of angles within polygons, a review of what tessellation of 2D planar shapes is, and the various forms of symmetry that exist with regard to 2D planar shapes and 3D solids.

This eBook introduces quadratic graphs and equations, from exploring the characteristics of quadratic graphs, to considering the standard form of the quadratic equation, factorising the quadratic and completing the square.

This eBook introduces the topic of inequalities, the meaning of the inequality symbols, how to rearrange and solve inequalities as well as the use of inequalities and number lines and the use of inequalities in graphs.

This eBook introduces the process of solving equations and rearranging formulas using elementary algebraic manipulation. We use examples that illustrate the process of solving an equation as well as the process of rearranging an equation, as well as set a number of challenging questions.

This eBook introduces the subjects of rounding numbers, accuracy and bounds as well as estimation and checking as they are closely linked. In this eBook we describe each of these concepts using knowledge of the suitability of our approach and a descriptive narrative.

This eBook introduces the topic of straight line graphs, the linear equation of the form y = mx + c, the gradient of a straight line equation, horizontal and vertical lines, lines of the form y = mx, the main diagonals, how to calculate the length of a straight line segment (using Pythagoras’ Theorem), lines and line segments, parallel straight lines and perpendicular straight lines.